Titlebook: C*-algebras and Elliptic Theory II; Dan Burghelea,Richard Melrose,Evgenij V. Troitsky Book 2008 Birkhäuser Basel 2008 Algebra.Dirac operat

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书目名称C*-algebras and Elliptic Theory II影响因子(影响力)




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书目名称C*-algebras and Elliptic Theory II被引频次学科排名




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https://doi.org/10.1007/978-3-322-85954-9We present some recent results on the behavior of the spectrum of the differential form Laplacian on a Riemannian foliated manifold when the metric on the ambient manifold is blown up in directions normal to the leaves (in the adiabatic limit).

synovitis

https://doi.org/10.1007/978-3-322-85954-9It was shown in [., .] that the C*-completion of Podleś’ generic quantum spheres .. [.] is independent of the parameter .. In the present note we provide a proof that this is not true for the .. themselves which remained a conjecture in [.]. As a byproduct we obtain that Aut(..) = ℂ.

crescendo

Michele Sce‘s Works in Hypercomplex AnalysisFor Hörmander’s classes OP.(.) of pseudo-differential operators associated with a weight . and a metric . we prove (under an additional technical condition) that, if . is in the space ..-weak, all operators in that class have finite Dixmier trace.

CBC471

The ,-theory of Twisted Group Algebras,We study the .-theory of twisted group algebras with the help of the Baum-Connes conjecture

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Ihara Zeta Functions for Periodic Simple Graphs,The definition and main properties of the Ihara zeta function for graphs are reviewed, focusing mainly on the case of periodic simple graphs. Moreover, we give a new proof of the associated determinant formula, based on the treatment developed by Stark and Terras for finite graphs.

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,On the Non-standard Podleś Spheres,It was shown in [., .] that the C*-completion of Podleś’ generic quantum spheres .. [.] is independent of the parameter .. In the present note we provide a proof that this is not true for the .. themselves which remained a conjecture in [.]. As a byproduct we obtain that Aut(..) = ℂ.

Ergots

Dixmier Traceability for General Pseudo-differential Operators,For Hörmander’s classes OP.(.) of pseudo-differential operators associated with a weight . and a metric . we prove (under an additional technical condition) that, if . is in the space ..-weak, all operators in that class have finite Dixmier trace.